Borda and Condorcet: Some distance results

Theory and Decision

Volumn 59, Issue 2, 2005, Pages 97-109

  Klamler, Christian ^a  

^a UNIVERSITY OF GRAZ   (Austria)

Author keywords

Borda rule; Condorcet loser; Condorcet winner; Distance functions; Voting cycles

Indexed keywords

FUNCTIONS;

BORDA RULE; CONDORCET LOSER; CONDORCET WINNER; DISTANCE FUNCTIONS; VOTING CYCLES;

DECISION THEORY;

EID: 27844523591     PISSN: 00405833     EISSN: 15737187     Source Type: Journal    
DOI: 10.1007/s11238-005-5459-y     Document Type: Article

References (20)

1. Baigent, N. (1983), Some Reservation on Strictly Majoritarian Social Choice, Discussion Paper Series, University of Essex.
2. Debord, B. (1987), Caractérisation des matrices de préférences nettes et méthodes d'agrégation associées. Mathématiques et Sciences Humaines 97, 5-17.
3. Dodgson, C. (1876), A method of taking votes on more than two issues, in Black, D. (1958), The Theory of Committees and Elections, London: Cambridge University Press.
4. Fishburn, P. (1977), Condorcet social choice functions. SIAM Journal of Applied Mathematics 33, 469-489.
5. Kemeny, J. (1959), Mathematics without numbers. Daedalus 88, 577-591.
6. Klamler, C. (2004), The Dodgson ranking and its relation to Kemeny's method and Slater's rule. Social Choice and Welfare 23, 91-102.
7. Klamler, C. (2003), A comparison of the Dodgson method and the Copeland rule. Economics Bulletin 4(8), 1-7.
8. Laffond, G., Laslier, J. F. and Le Breton, M. (1994), The Copeland measure of Condorcet choice functions. Discrete Applied Mathematics 55, 273-279.
9. Le Breton, M. and Truchon, M. (1997), A Borda measure for social choice functions. Mathematical Social Sciences 34, 249-272.
10. McLean, I. and Hewitt, F. (eds.) (1994), Condorcet: Foundations of Social Choice and Political Theory, Edward Elgar.
11. Moulin, H. (1988), Axioms of Cooperative Decision Making, New York: Cambridge University Press.
12. Nurmi, H. (1999), Voting Paradoxes and How to Deal with Them, Heidelberg: Springer-Verlag.
13. Ratliff, T. C. (2001), A comparison of Dodgson's method and Kemeny's rule. Social Choice and Welfare 18, 79-90.
14. Ratliff, T. C. (2002), A comparison of Dodgson's method and the Borda count, Economic Theory 20, 357-372.
15. Saari, D. G. (1995), Basic Geometry of Voting, Berlin: Springer-Verlag.
16. Saari, D. G. (2000a), Mathematical structure of voting Paradoxes. I. Pair-wise Votes. Economic Theory 15, 1-53.
17. Saari, D. G. (2000b), Mathematical structure of voting Paradoxes. II. Positional Voting. Economic Theory 15, 55-102.
18. Young, H. P. (1974), An axiomatisation of Borda's rule. Journal of Economic Theory 9, 43-52.
19. Young, H. P. (1988), Condorcet's theory of voting. American Political Science Review 82, 1231-1244.
20. Young, H. P. (1995), Optimal voting rules. Journal of Economic Perspectives 9, 51-64